How to reinvent jobs replaced by AI?
With AI technology at its current stage (or at least reasonably close to this stage), the jobs you proposed may very well be openings created by AI automation. However, sufficiently advanced AI technology--- the kind that can function as general purpose labor replacement--- will make even these jobs obsolete. This is because such an AI would be able to improve itself and as a result would surpass human level intelligence---meaning that it would take actions which we would not necessarily be able to understand or justify. 

This is all assuming that the intelligence of humans is not some kind of upper limit on the possibilities of intelligence in general. As far as I know there is no reason to think we represent such an upper limit.

To summarize...will such jobs exist?

Sub-human artificial intelligence: sure.
Beyond-human artificial intelligence: no reason to think they would be necessary as the AI can do them itself.